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U1L4 Absolute Value Equations

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Last updated 6 months ago
19 questions
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Question 1
1.

Solve the equation. Check for extraneous solutions.

|4x|=28

Write answer as x=# or x=#,#
If no solution, write no solution or none

Question 2
2.

Solve the equation. Check for extraneous solutions.

|3x+6|=-12

Write answer as x=# or x=#,#
If no solution, write no solution or none

Question 3
3.

Solve the equation. Check for extraneous solutions.

|x-1|=7x-13

Write answer as x=# or x=#,#
If no solution, write no solution or none

Question 4
4.

Solve the equation. Check for extraneous solutions.

|x+12|=15

Write answer as x=# or x=#,#
If no solution, write no solution or none

Question 5
5.

Solve the equation. Check for extraneous solutions.

|-3x|=63

Write answer as x=# or x=#,#
If no solution, write no solution or none

Question 6
6.

Solve the equation. Check for extraneous solutions.

2|5x+3|=16

Write answer as x=# or x=#,#
If no solution, write no solution or none

Question 7
7.

Solve the equation. Check for extraneous solutions.

|6x+7|=5x+2

Write answer as x=# or x=#,#
If no solution, write no solution or none

Question 8
8.

Solve the equation. Check for extraneous solutions.

|7x-4|=24

Write answer as x=# or x=#,# (Exact answers only)
If no solution, write no solution or none

Question 9
9.

Solve the equation. Check for extraneous solutions.

|3x|+2=11

Write answer as x=# or x=#,#
If no solution, write no solution or none

Question 10
10.

Solve the equation. Check for extraneous solutions.

5|x+1|+6=21

Write answer as x=# or x=#,#
If no solution, write no solution or none

Question 11
11.

Solve the equation. Check for extraneous solutions.

|3x+5|-2x=3x+4

Write answer as x=# or x=#,#
If no solution, write no solution or none

Question 12
12.

Solve the equation. Check for extraneous solutions.

-|x+2|=7

Write answer as x=# or x=#,#
If no solution, write no solution or none

Question 13
13.

Solve the equation. Check for extraneous solutions.

|3x-2|=|x-6|

Write answer as x=# or x=#,#
If no solution, write no solution or none

Question 14
14.

Solve the equation. Check for extraneous solutions.

|x-4|=|4-x|

Write answer as x=# or x=#,#
If no solution, write no solution or none

Question 15
15.

Solve the equation. Check for extraneous solutions.

|x^{2}+9x+14|=0

Write answer as x=# or x=#,#
If no solution, write no solution or none

Question 16
16.

Solve the equation. Check for extraneous solutions.

|x^{2}-4|=-4

Write answer as x=# or x=#,#
If no solution, write no solution or none.

Question 17
17.

Solve the equation. Check for extraneous solutions.

|x^{2}+1|=2x

Write answer as x=# or x=#,#
If no solution, write no solution or none

Question 18
18.

Solve the equation to find the real solutions. Check for extraneous solutions.

1+|2x^{2}-6|=13

Write answer as x=# or x=#,#
If no solution, write no solution or none

Question 19
19.

Solve the equation. Check for extraneous solutions.

|x^{2}-2x|=4x-8

Write answer as x=# or x=#,#
If no solution, write no solution or none